The number of students weighing less than 30 kg in a section is ten. There are 15 students who weigh less than 35 kg, and 20 students who weigh less than 40 kg.
The frequency table for the given data is a follows:
Weight Range
Number of Students
0<Weight (kg)<30
10
0<Weight (kg)<35
15
0<Weight (kg)<40
20
Then there are students who weigh more than or equal to 35 kg.
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Solution
The statement "Number of students weighing less than 30 kg is 10" can be interpreted as follows:
Number of students in the range 0<Weight (kg)<30 is 10.
The frequency table for the given data is a follows:
Weight Range
Number of Students
0<Weight (kg)<30
10
0<Weight (kg)<35
15
0<Weight (kg)<40
20
Subtracting the number of students in the range 0<Weight (kg)<30 from the range 0<Weight (kg)<35 we get,
Number of students in the range 30≤Weight (kg)<35 is 15−10=5.
Similarly, subtracting the number of students in the range 0<Weight (kg)<35 from the range 0<Weight (kg)<40 we get,
Number of students in the range 35≤Weight (kg)<40 is 20−15=5.
The grouped frequency table is:
Weight Range
Number of Students
0<Weight (kg)<30
10
30≤Weight (kg)<35
5
35≤Weight (kg)<40
5
The number of students weighing more than or equal to 35 kg is equivalent to the number of students in the interval 35≤Weight (kg)<40, i.e., 5.